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# 1/0= infinity (is it true)

we say that 1/0 =infinity, which can be written as 1/0=infinity/1, if we cross multiply we can get, 11= infinity0, which is 1=0

?????????????????????

am i right

Note by Brilliant Member
4 years, 2 months ago

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Infinity is a concept, not a number like 1 or 2. Hence $$\infty \times 0 \neq 0$$. Also, $$0$$ cannot be cross multiplied as you did in your argument. Hence $$1\neq 0$$

- 4 years, 2 months ago

infinity is not a number it is a repersention of a number which we dont know

- 4 years, 2 months ago

I learnt this proof in Pseudo Maths : function is lim x->0 f(x)=1/x when the value of x approaches to 0 from positive, x=1, f(x)=1

x=0.1, f(x)=10

x=0.01, f(x)=100

x=0.001, f(x)=1000

when x=0, f(x)=∞

However, if the value of x approaches 0 from negative, x=-1, f(x)=-1

x=-0.1, f(x)=-10

x=-0.01, f(x)=-100

x=-0.001, f(x)=-1000

when x=0, f(x)=-∞

∞ and -∞ is completely different, so the limit is undefined.

- 4 years, 2 months ago

exactly ..n in ur language harsh....u may undrstnd it by an eg - If space is infinite it means that there is no end. and accordin to me it's a subtle difference, 1 / infinity is undefined (because infinity is not a single number)

- 4 years, 2 months ago

you mean single number as real number. Right ?

- 4 years, 2 months ago